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Finding the Third Proportional to 122,127 and 257,373

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Solution

The third proportional to 122,127 and 257,373 is: 542,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,127 : 257,373 = 257,373 : x
  2. Step 2: Convert to fraction form
    122,127/257,373 = 257,373/x
  3. Step 3: Cross multiply
    122,127x = 257,373 × 257,373
  4. Step 4: Simplify right side
    122,127x = 66,240,861,129
  5. Step 5: Solve for x
    x = 66,240,861,129/122,127
  6. Step 6: Final answer
    x = 542,393.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.